A certain hurricane database extends back to 1851, recording among other data the number of major huricanes (measuring at least a Category 3) striking a certain region per year. The following table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012. Complete parts (a) through (f) below. y P(Y y) y P(Y = y) D 0.182 0.058 1 0.281 6. 0.023 0.241 7 0.009 0.094 8 0.077 4 0.035 TAUULS OB. P() b. Use random-variable notation to represent the event that the year had exactly three major hurricanes. Select the correct choice below and fill in the answer box within your choice. A. (Y=3} OB. P() c. Use random-variable notation to represent the event that the year had between 5 and 7 major hurricanes, inclusive. Select the correct choice below and fill in the answer box within your choice. A (5SYS7} OB. P() d. Use the special addition rule and the probability distribution to determine the probability that the year had at least one major hurricane. The probability is- (Type an integer or decimal rounded to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.